internal static EInteger FindPowerOfTenFromBig(EInteger
bigintExponent)
{
int sign = bigintExponent.Sign;
if (sign < 0)
{
return(EInteger.Zero);
}
if (sign == 0)
{
return(EInteger.One);
}
if (bigintExponent.CompareTo(ValueBigInt36) <= 0)
{
return(FindPowerOfTen((int)bigintExponent));
}
FastInteger intcurexp = FastInteger.FromBig(bigintExponent);
EInteger mantissa = EInteger.One;
EInteger bigpow = EInteger.Zero;
// DebugUtility.Log("Getting power of ten from big "+bigintExponent);
while (intcurexp.Sign > 0)
{
if (intcurexp.CompareToInt(18) <= 0)
{
bigpow = FindPowerOfTen(intcurexp.AsInt32());
mantissa *= (EInteger)bigpow;
break;
}
if (intcurexp.CompareToInt(9999999) <= 0)
{
int val = intcurexp.AsInt32();
bigpow = FindPowerOfFive(val);
bigpow <<= val;
mantissa *= (EInteger)bigpow;
break;
}
if (bigpow.IsZero)
{
bigpow = FindPowerOfFive(9999999);
bigpow <<= 9999999;
}
mantissa *= bigpow;
intcurexp.AddInt(-9999999);
}
return(mantissa);
}
public void TruncateRight(FastInteger fastint)
{
if (fastint == null)
{
throw new ArgumentNullException("fastint");
}
if (fastint.CanFitInInt32())
{
int fi = fastint.AsInt32();
if (fi < 0)
{
return;
}
if (!this.isSmall)
{
if (this.shiftedBigInt.CanFitInInt64())
{
this.TruncateRightLong(this.shiftedBigInt.ToInt64Checked(), fi);
}
else
{
this.ShiftRightBig(fi, true);
}
}
else
{
this.TruncateRightSmall(fi);
}
}
else
{
this.ShiftRight(fastint);
}
}
public void ShiftRight(FastInteger fastint)
{
if (fastint.Sign <= 0)
{
return;
}
if (fastint.CanFitInInt32())
{
this.ShiftRightInt(fastint.AsInt32());
}
else
{
EInteger bi = fastint.AsEInteger();
while (bi.Sign > 0)
{
var count = 1000000;
if (bi.CompareTo((EInteger)1000000) < 0)
{
count = (int)bi;
}
this.ShiftRightInt(count);
bi -= (EInteger)count;
if (this.isSmall ? this.shiftedSmall == 0 :
this.shiftedBigInt.IsZero)
{
break;
}
}
}
}
public static FastIntegerFixed FromFastInteger(FastInteger fi)
{
if (fi.CanFitInInt32())
{
return(FromInt32(fi.AsInt32()));
}
else
{
return(FastIntegerFixed.FromBig(fi.AsEInteger()));
}
}
public static EInteger ReduceTrailingZeros(
EInteger bigmant,
FastInteger exponentMutable,
int radix,
FastInteger digits,
FastInteger precision,
FastInteger idealExp)
{
#if DEBUG
if (precision != null && digits == null)
{
throw new ArgumentException("doesn't satisfy precision==null || digits!=null");
}
#endif
if (bigmant.IsZero)
{
exponentMutable.SetInt(0);
return(bigmant);
}
var bigradix = (EInteger)radix;
var bitToTest = 0;
var bitsToShift = new FastInteger(0);
while (!bigmant.IsZero)
{
if (precision != null && digits.CompareTo(precision) == 0)
{
break;
}
if (idealExp != null && exponentMutable.CompareTo(idealExp) == 0)
{
break;
}
if (radix == 2)
{
if (bitToTest < Int32.MaxValue)
{
if (bigmant.GetSignedBit(bitToTest))
{
break;
}
++bitToTest;
bitsToShift.Increment();
}
else
{
if (!bigmant.IsEven)
{
break;
}
bigmant >>= 1;
}
}
else
{
EInteger bigrem;
EInteger bigquo;
{
EInteger[] divrem = bigmant.DivRem(bigradix);
bigquo = divrem[0];
bigrem = divrem[1];
}
if (!bigrem.IsZero)
{
break;
}
bigmant = bigquo;
}
exponentMutable.Increment();
if (digits != null)
{
digits.Decrement();
}
}
if (radix == 2 && !bitsToShift.IsValueZero)
{
while (bitsToShift.CompareToInt(1000000) > 0)
{
bigmant >>= 1000000;
bitsToShift.SubtractInt(1000000);
}
int tmpshift = bitsToShift.AsInt32();
bigmant >>= tmpshift;
}
return(bigmant);
}
internal static EInteger FindPowerOfFiveFromBig(EInteger diff)
{
int sign = diff.Sign;
if (sign < 0)
{
return(EInteger.Zero);
}
if (sign == 0)
{
return(EInteger.One);
}
FastInteger intcurexp = FastInteger.FromBig(diff);
if (intcurexp.CompareToInt(54) <= 0)
{
return(FindPowerOfFive(intcurexp.AsInt32()));
}
EInteger mantissa = EInteger.One;
EInteger bigpow;
EInteger origdiff = diff;
bigpow = ValuePowerOfFiveCache.GetCachedPower(origdiff);
if (bigpow != null)
{
return(bigpow);
}
EInteger[] otherPower =
ValuePowerOfFiveCache.FindCachedPowerOrSmaller(origdiff);
if (otherPower != null)
{
intcurexp.SubtractBig(otherPower[0]);
bigpow = otherPower[1];
mantissa = bigpow;
}
else
{
bigpow = EInteger.Zero;
}
while (intcurexp.Sign > 0)
{
if (intcurexp.CompareToInt(27) <= 0)
{
bigpow = FindPowerOfFive(intcurexp.AsInt32());
mantissa *= (EInteger)bigpow;
break;
}
if (intcurexp.CompareToInt(9999999) <= 0)
{
bigpow = FindPowerOfFive(1).Pow(intcurexp.AsInt32());
mantissa *= (EInteger)bigpow;
break;
}
if (bigpow.IsZero)
{
bigpow = FindPowerOfFive(1).Pow(9999999);
}
mantissa *= bigpow;
intcurexp.AddInt(-9999999);
}
ValuePowerOfFiveCache.AddPower(origdiff, mantissa);
return(mantissa);
}
private void ShiftToDigitsBig(int digits, bool truncate)
{
// Shifts a number until it reaches the given number of digits,
// gathering information on whether the last digit discarded is set
// and whether the discarded digits to the right of that digit are set.
// Assumes that the big integer being shifted is positive.
if (this.knownDigitLength != null)
{
if (this.knownDigitLength.CompareToInt(digits) <= 0)
{
return;
}
}
string str;
this.knownDigitLength = this.knownDigitLength ??
this.CalcKnownDigitLength();
if (this.knownDigitLength.CompareToInt(digits) <= 0)
{
return;
}
FastInteger digitDiff = this.knownDigitLength.Copy().SubtractInt(digits);
if (truncate && digitDiff.CanFitInInt32())
{
this.TruncateRight(digitDiff);
return;
}
if (digitDiff.CompareToInt(1) == 0)
{
EInteger bigrem;
EInteger bigquo;
EInteger[] divrem = this.shiftedBigInt.DivRem(ValueTen);
bigquo = divrem[0];
bigrem = divrem[1];
this.bitsAfterLeftmost |= this.bitLeftmost;
this.bitLeftmost = (int)bigrem;
this.shiftedBigInt = bigquo;
this.discardedBitCount = this.discardedBitCount ?? (new FastInteger(0));
this.discardedBitCount.Add(digitDiff);
this.UpdateKnownLength(digitDiff);
this.bitsAfterLeftmost = (this.bitsAfterLeftmost != 0) ? 1 : 0;
return;
}
if (digitDiff.CompareToInt(9) <= 0)
{
EInteger bigrem;
int diffInt = digitDiff.AsInt32();
EInteger radixPower = NumberUtility.FindPowerOfTen(diffInt);
EInteger bigquo;
EInteger[] divrem = this.shiftedBigInt.DivRem(radixPower);
bigquo = divrem[0];
bigrem = divrem[1];
var rem = (int)bigrem;
this.bitsAfterLeftmost |= this.bitLeftmost;
for (var i = 0; i < diffInt; ++i)
{
if (i == diffInt - 1)
{
this.bitLeftmost = rem % 10;
}
else
{
int intQuot = (rem < 43698) ? ((rem * 26215) >> 18) : (rem / 10);
this.bitsAfterLeftmost |= rem - (intQuot * 10);
rem = intQuot;
}
}
this.shiftedBigInt = bigquo;
this.discardedBitCount = this.discardedBitCount ?? (new FastInteger(0));
this.discardedBitCount.Add(digitDiff);
this.UpdateKnownLength(digitDiff);
this.bitsAfterLeftmost = (this.bitsAfterLeftmost != 0) ? 1 : 0;
return;
}
if (digitDiff.CanFitInInt32())
{
#if DEBUG
if (!(digitDiff.CompareToInt(2) > 0))
{
throw new ArgumentException(
"doesn't satisfy digitDiff.CompareToInt(2)>0");
}
#endif
EInteger bigrem = null;
EInteger bigquo;
EInteger[] divrem;
if (!this.shiftedBigInt.IsEven || this.bitsAfterLeftmost != 0)
{
EInteger radixPower =
NumberUtility.FindPowerOfTen(digitDiff.AsInt32() - 1);
this.bitsAfterLeftmost |= 1;
bigquo = this.shiftedBigInt.Divide(radixPower);
}
else
{
EInteger radixPower =
NumberUtility.FindPowerOfTen(digitDiff.AsInt32() - 1);
divrem = this.shiftedBigInt.DivRem(radixPower);
bigquo = divrem[0];
bigrem = divrem[1];
this.bitsAfterLeftmost |= this.bitLeftmost;
if (!bigrem.IsZero)
{
this.bitsAfterLeftmost |= 1;
}
}
EInteger bigquo2;
divrem = bigquo.DivRem(ValueTen);
bigquo2 = divrem[0];
bigrem = divrem[1];
this.bitLeftmost = (int)bigrem;
this.shiftedBigInt = bigquo2;
this.discardedBitCount = this.discardedBitCount ?? (new FastInteger(0));
this.discardedBitCount.Add(digitDiff);
this.UpdateKnownLength(digitDiff);
this.bitsAfterLeftmost = (this.bitsAfterLeftmost != 0) ? 1 : 0;
return;
}
str = this.shiftedBigInt.ToString();
// NOTE: Will be 1 if the value is 0
int digitLength = str.Length;
this.knownDigitLength = new FastInteger(digitLength);
// Shift by the difference in digit length
if (digitLength > digits)
{
int digitShift = digitLength - digits;
this.UpdateKnownLengthInt(digitShift);
var newLength = (int)(digitLength - digitShift);
// Console.WriteLine("dlen= " + digitLength + " dshift=" +
// digitShift + " newlen= " + newLength);
this.discardedBitCount = this.discardedBitCount ?? (new FastInteger(0));
if (digitShift <= Int32.MaxValue)
{
this.discardedBitCount.AddInt((int)digitShift);
}
else
{
this.discardedBitCount.AddBig((EInteger)digitShift);
}
for (int i = str.Length - 1; i >= 0; --i)
{
this.bitsAfterLeftmost |= this.bitLeftmost;
this.bitLeftmost = (int)(str[i] - '0');
--digitShift;
if (digitShift <= 0)
{
break;
}
}
if (newLength <= 9)
{
this.isSmall = true;
this.shiftedSmall = FastParseLong(str, 0, newLength);
}
else
{
this.shiftedBigInt = EInteger.FromSubstring(str, 0, newLength);
}
this.bitsAfterLeftmost = (this.bitsAfterLeftmost != 0) ? 1 : 0;
}
}
public void ShiftToDigits(
FastInteger bits,
FastInteger preShift,
bool truncate)
{
#if DEBUG
if (bits.Sign < 0)
{
throw new ArgumentException("bits's sign (" + bits.Sign +
") is less than 0");
}
#endif
if (preShift != null && preShift.Sign > 0)
{
FastInteger kdl = this.knownDigitLength ?? this.CalcKnownDigitLength();
this.knownDigitLength = kdl;
// DebugUtility.Log("bits=" + bits + " pre=" + preShift + " known=" +
// (//kdl) + " [" + this.shiftedBigInt + "]");
if (kdl.CompareTo(bits) <= 0)
{
// Known digit length is already small enough
if (truncate)
{
this.TruncateRight(preShift);
}
else
{
this.ShiftRight(preShift);
}
this.VerifyKnownLength();
return;
}
else
{
FastInteger bitDiff = kdl.Copy().Subtract(bits);
// DebugUtility.Log("bitDiff=" + bitDiff);
int cmp = bitDiff.CompareTo(preShift);
if (cmp <= 0)
{
// Difference between desired digit length and current
// length is smaller than the shift, make it the shift
if (truncate)
{
this.TruncateRight(preShift);
}
else
{
this.ShiftRight(preShift);
}
this.VerifyKnownLength();
return;
}
else
{
if (truncate)
{
this.TruncateRight(bitDiff);
}
else
{
this.ShiftRight(bitDiff);
}
this.VerifyKnownLength();
return;
}
}
}
if (bits.CanFitInInt32())
{
int intval = bits.AsInt32();
if (intval < 0)
{
throw new ArgumentException("intval (" + intval + ") is less than " +
"0");
}
if (this.isSmall)
{
this.ShiftToDigitsSmall(intval);
}
else
{
this.ShiftToDigitsBig(intval, truncate);
}
this.VerifyKnownLength();
}
else
{
FastInteger kdl = this.knownDigitLength ?? this.CalcKnownDigitLength();
this.knownDigitLength = kdl;
this.VerifyKnownLength();
EInteger bigintDiff = kdl.AsEInteger();
EInteger bitsBig = bits.AsEInteger();
bigintDiff -= (EInteger)bitsBig;
if (bigintDiff.Sign > 0)
{
// current length is greater than the
// desired bit length
this.ShiftRight(FastInteger.FromBig(bigintDiff));
}
this.VerifyKnownLength();
}
}
internal static EInteger FindPowerOfFiveFromBig(EInteger diff)
{
int sign = diff.Sign;
if (sign < 0)
{
return(EInteger.Zero);
}
if (sign == 0)
{
return(EInteger.One);
}
FastInteger intcurexp = FastInteger.FromBig(diff);
if (intcurexp.CompareToInt(54) <= 0)
{
return(FindPowerOfFive(intcurexp.AsInt32()));
}
// DebugUtility.Log("Getting power of five from big "+diff);
EInteger mantissa = EInteger.One;
EInteger bigpow;
EInteger origdiff = diff;
bigpow = ValuePowerOfFiveCache.GetCachedPower(origdiff);
if (bigpow != null)
{
return(bigpow);
}
EInteger[] otherPower =
ValuePowerOfFiveCache.FindCachedPowerOrSmaller(origdiff);
if (otherPower != null)
{
// DebugUtility.Log("Found cached power " +otherPower[0]+", "
// +otherPower[1]);
intcurexp.SubtractBig(otherPower[0]);
bigpow = otherPower[1];
mantissa = bigpow;
}
else
{
bigpow = EInteger.Zero;
}
while (intcurexp.Sign > 0)
{
if (intcurexp.CompareToInt(27) <= 0)
{
bigpow = FindPowerOfFive(intcurexp.AsInt32());
mantissa *= (EInteger)bigpow;
break;
}
if (intcurexp.CompareToInt(9999999) <= 0)
{
int icurexp = intcurexp.AsInt32();
int halficurexp = icurexp / 2;
bigpow = FindPowerOfFive(halficurexp);
bigpow = bigpow.Multiply(
FindPowerOfFive(icurexp - halficurexp));
mantissa *= (EInteger)bigpow;
break;
}
if (bigpow.IsZero)
{
bigpow = FindPowerOfFive(1).Pow(9999999);
}
mantissa *= bigpow;
intcurexp.AddInt(-9999999);
}
ValuePowerOfFiveCache.AddPower(origdiff, mantissa);
return(mantissa);
}
private void ShiftBigToBits(int bits)
{
// Shifts a number until it reaches the given number of bits,
// gathering information on whether the last bit discarded is set and
// whether the discarded bits to the right of that bit are set. Assumes
// that the big integer being shifted is positive.
if (this.knownBitLength != null)
{
if (this.knownBitLength.CompareToInt(bits) <= 0)
{
return;
}
}
this.knownBitLength = this.knownBitLength ?? this.CalcKnownBitLength();
if (this.knownBitLength.CompareToInt(bits) <= 0)
{
return;
}
// Shift by the difference in bit length
if (this.knownBitLength.CompareToInt(bits) > 0)
{
var bs = 0;
if (this.knownBitLength.CanFitInInt32())
{
bs = this.knownBitLength.AsInt32();
bs -= bits;
}
else
{
FastInteger bitShift =
this.knownBitLength.Copy().SubtractInt(bits);
if (!bitShift.CanFitInInt32())
{
this.ShiftRight(bitShift);
return;
}
bs = bitShift.AsInt32();
}
this.knownBitLength.SetInt(bits);
this.discardedBitCount.AddInt(bs);
if (bs == 1)
{
bool odd = !this.shiftedBigInt.IsEven;
this.shiftedBigInt >>= 1;
this.bitsAfterLeftmost |= this.bitLeftmost;
this.bitLeftmost = odd ? 1 : 0;
}
else
{
this.bitsAfterLeftmost |= this.bitLeftmost;
int lowestSetBit = this.shiftedBigInt.GetLowBit();
if (lowestSetBit < bs - 1)
{
// One of the discarded bits after
// the last one is set
this.bitsAfterLeftmost |= 1;
this.bitLeftmost = this.shiftedBigInt.GetSignedBit(bs - 1) ? 1 : 0;
}
else if (lowestSetBit > bs - 1)
{
// Means all discarded bits are zero
this.bitLeftmost = 0;
}
else
{
// Only the last discarded bit is set
this.bitLeftmost = 1;
}
this.shiftedBigInt >>= bs;
}
if (bits < SmallBitLength)
{
// Shifting to small number of bits,
// convert to small integer
this.isSmall = true;
this.shiftedSmall = (int)this.shiftedBigInt;
}
this.bitsAfterLeftmost = (this.bitsAfterLeftmost != 0) ? 1 : 0;
}
}
public void ShiftToDigits(
FastInteger bits,
FastInteger preShift,
bool truncate)
{
if (bits.Sign < 0)
{
throw new ArgumentException("bits's sign(" + bits.Sign +
") is less than 0");
}
if (preShift != null && preShift.Sign > 0)
{
this.knownBitLength = this.knownBitLength ?? this.CalcKnownBitLength();
// DebugUtility.Log("bits=" + bits + " pre=" + preShift + " known=" +
// (//kbl) + " [" + this.shiftedBigInt + "]");
if (this.knownBitLength.CompareTo(bits) <= 0)
{
// Known digit length is already small enough
// NOTE: For BitShiftAccumulator, truncating and shifting
// are the same, unlike in DigitShiftAccumulator
this.ShiftRight(preShift);
this.VerifyKnownLength();
return;
}
else
{
FastInteger bitDiff = this.knownBitLength.Copy()
.Subtract(bits);
// DebugUtility.Log("bitDiff=" + bitDiff);
int cmp = bitDiff.CompareTo(preShift);
if (cmp <= 0)
{
// NOTE: For BitShiftAccumulator, truncating and shifting
// are the same, unlike in DigitShiftAccumulator
this.ShiftRight(preShift);
this.VerifyKnownLength();
return;
}
else
{
// NOTE: For BitShiftAccumulator, truncating and shifting
// are the same, unlike in DigitShiftAccumulator
this.ShiftRight(bitDiff);
this.VerifyKnownLength();
return;
}
}
}
if (bits.CanFitInInt32())
{
this.ShiftToDigitsInt(bits.AsInt32());
this.VerifyKnownLength();
}
else
{
this.knownBitLength = this.knownBitLength ?? this.CalcKnownBitLength();
EInteger bigintDiff = this.knownBitLength.AsEInteger();
EInteger bitsBig = bits.AsEInteger();
bigintDiff -= (EInteger)bitsBig;
if (bigintDiff.Sign > 0)
{
// current length is greater than the
// desired bit length
this.ShiftRight(FastInteger.FromBig(bigintDiff));
}
this.VerifyKnownLength();
}
}